On the primitive roots of residue field of algebraic number field
Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesse...
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oai:animorepository.dlsu.edu.ph:faculty_research-72302022-07-15T06:30:35Z On the primitive roots of residue field of algebraic number field Dela Cruz, Harris R. Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesses a primitive root 2016-06-04T07:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/6284 Faculty Research Work Animo Repository Algebraic fields Algebraic number theory Rings of integers Mathematics |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
| topic |
Algebraic fields Algebraic number theory Rings of integers Mathematics |
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Algebraic fields Algebraic number theory Rings of integers Mathematics Dela Cruz, Harris R. On the primitive roots of residue field of algebraic number field |
| description |
Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesses a primitive root |
| format |
text |
| author |
Dela Cruz, Harris R. |
| author_facet |
Dela Cruz, Harris R. |
| author_sort |
Dela Cruz, Harris R. |
| title |
On the primitive roots of residue field of algebraic number field |
| title_short |
On the primitive roots of residue field of algebraic number field |
| title_full |
On the primitive roots of residue field of algebraic number field |
| title_fullStr |
On the primitive roots of residue field of algebraic number field |
| title_full_unstemmed |
On the primitive roots of residue field of algebraic number field |
| title_sort |
on the primitive roots of residue field of algebraic number field |
| publisher |
Animo Repository |
| publishDate |
2016 |
| url |
https://animorepository.dlsu.edu.ph/faculty_research/6284 |
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1767196531979452416 |